Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

13th December 2022

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
2
Surds3 marks
Expand and simplify (9 + sqrt(3))(9 - sqrt(3)).
3
Inverse and Composite Functions3 marks
f(x) = 2x - 1 and g(x) = 6x + 6. Work out fg(-1).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 6 m/s to 13 m/s over 4 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 6a + b and vector RS = 24a + 4b. What does this show about PQ and RS?

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